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Finding the Fourth Proportional to 634.13, 949.16 and 340.89

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Solution

The fourth proportional to 634.13, 949.16 and 340.89 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.13 : 949.16 = 340.89 : x
  2. Step 2: Convert to fraction form
    634.13/949.16 = 340.89/x
  3. Step 3: Cross multiply
    634.13x = 949.16 × 340.89
  4. Step 4: Simplify right side
    634.13x = 323,559.15
  5. Step 5: Solve for x
    x = 323,559.15/634.13
  6. Step 6: Final answer
    x = 510.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.